Publications of D. Preiss

  1. Limits of derivatives. Comment. Math. Univ. Carolinae, 9 (1968), 307-309.

  2. Charakterizace funkcí majících až na spočetnou množinu derivaci zprava rovnu nule. Časopis Pěst. Mat., 94 (1969), 194-198.

  3. Limits of derivatives and Darboux-Baire functions. Rev. Roumaine Math. Pures Appl., 14 (1969), 1201-1206.

  4. Poznámka k první větě o střední hodnotě integrálního počtu (with J. Uher). Časopis Pěst. Mat., 95 (1969), 199-201.

  5. Bemerkung zu einem Problem von V. Jarník. Časopis Pěst. Mat., 95 (1970), 146-149.

  6. On the first derivative of real functions. Comment. Math. Univ. Carolinae, 11 (1970), 817-822.

  7. Poznámka k větě o substituci pro Riemannův integrál (with J. Uher). Časopis Pěst. Mat., 95 (1970), 345-347.

  8. Approximate derivatives and Baire classes. Czechoslovak Math. J., 21(96) (1971), 373-382.

  9. Limits of approximately continuous functions. Czechoslovak Math. J., 21(96) (1971), 371-372.

  10. Metric spaces in which Prohorov theorem is not valid. In General Topology and its Relations to Modern Analysis and Algebra III, page 359, Prague, 1971.

  11. A note on symmetrically continuous functions. Časopis Pěst. Mat., 96 (1971), 262-264.

  12. The convex generation of convex Borel sets in Banach spaces. Mathematika, 20 (1973), 1-3.

  13. Metric spaces in which Prohorov theorem is not valid. Z. Wahrsch. Verw. Gebiete, 27 (1973), 109-116.

  14. Poznámka k jednomu problému K. Kartáka. Časopis Pěst. Mat., 98 (1973), 101-102.

  15. Completely additive disjoint system of Baire sets is of bounded class. Comment. Math. Univ. Carolinae, 15 (1974), 341-344.

  16. A weakly pseudocompact subspace of a Banach space is weakly compact (with P. Simon). Comment. Math. Univ. Carolinae, 15 (1974), 603-609.

  17. Decomposition of spheres in Hilbert spaces (with P. Erdős). Comment. Math. Univ. Carolinae, 17 (1976), 791-795.

  18. Renormalization of nonperturbative functional integral for independent value models (with R. Kotecký). Lett. Math. Phys., 2 (1977), 21-25.

  19. Baire class of completely additive systems of Baire sets. In Seminar Uniform Spaces, pages 63-64, Prague, 1977.

  20. Borel and weakly Borel sets in Banach spaces. In Abstracta Fifth Winter School on Abstract Analysis, pages 87-88, Prague, 1977.

  21. Nonperturbative renormalizability for a class of gradient-free models (with R. Kotecký). Phys. Rev. D, 18 (1978), 2187-2193.

  22. On local uniformities (with J. Pelant and J. Vilímovský). General Topology Appl., 8 (1978), 67-71.

  23. Generalized projective limits of measurable spaces and their use for the description of Gibbs states (with R. Kotecký). In Colloquia Mathematica Societas János Bolyai 27, Random Fields, pages 639-645, Esztergom (Hungary), 1979.

  24. Markoff property of generalized random fields (with R. Kotecký). In Abstracta Seventh Winter School on Abstract Analysis, pages 61-66, Prague, 1979.

  25. Gaussian measures and covering theorems. Comment. Math. Univ. Carolinae, 20 (1979), 95-99.

  26. Invalid Vitali theorems. In Abstracta Seventh Winter School on Abstract Analysis, pages 58-60, Prague, 1979.

  27. Maximoff's theorem. Real. Anal. Exchange, 5 (1979-80), 92-104.

  28. The use of projective limits in classical statistical mechanics and Euclidean quantum field theory (with R. Kotecký). Czechoslovak J. Phys. B, 30 (1980), 23-32.

  29. In-between theorems in uniform spaces (with J. Vilímovský). Trans. Amer. Math. Soc., 261 (1980), 483-501.

  30. Gaussian measures and the density theorem. Comment. Math. Univ. Carolinae, 22 (1981), 181-193.

  31. A survey of problems and results concerning orthogonal transition kernels (with D. Mauldin and H. von Weizsäcker). In Proc. Conf. Measure Theory, Oberwolfach 1981, number 945 in Lecture Notes in Mathematics, pages 419-424, Springer-Verlag, Berlin-Heidelberg-New York, 1982.

  32. Differentiation of measures in infinitely dimensional spaces. In Proc. Conf. Topology and Measure III, pages 201-207, Greifswald, 1982.

  33. Gâteaux differentiable Lipschitz functions need not be Fréchet differentiable on a residual set. Rend. Circ. Mat. Palermo Supplemento, Serie II, 27 (1982), 217-222.

  34. Level sets of derivatives. Trans. Amer. Math. Soc., 272 (1982), 161-184.

  35. Differentiation of measures in Hilbert spaces (with J. Tišer). In Proc. Conf. Measure Theory, Oberwolfach 1981, number 945 in Lecture Notes in Mathematics, pages 194-207, Springer-Verlag, Berlin-Heidelberg-New York, 1982.

  36. On the symmetry of approximate Dini derivatives of arbitrary functions (with L. Zajíček). Comment. Math. Univ. Carolinae, 23 (1982), 691-697.

  37. Algebra generated by derivatives. Real. Anal. Exchange, 8 (1982-83), 208-216.

  38. Orthogonal transition kernels (with D. Mauldin and H. von Weizsäcker). Ann. Prob., 11 (1983), 970-988.

  39. Dimension of metrics and differentiation of measures. In General Topology and its Relations to Modern Analysis and Algebra V, pages 565-568, Heldermann Verlag, Berlin, 1983.

  40. An inductive approach to Pirogov-Sinai theory (with R. Kotecký). Rend. Circ. Mat. Palermo Supplemento, Serie II, 2 (1984), 161-164.

  41. Gâteaux differentiable functions are somewhere Fréchet differentiable. Rend. Circ. Mat. Palermo, Serie II, 29 (1984), 122-133.

  42. Fréchet differentiation of convex functions in a Banach space with a separable dual (with L. Zajíček). Proc. Amer. Math. Soc., 91 (1984), 202-204.

  43. Stronger estimates of sets of Fréchet nondifferentiability of convex functions (with L. Zajíček). Rend. Circ. Mat. Palermo Supplemento, Serie II, 3 (1984), 219-223.

  44. Convexity conditions and intersections with smooth functions (with S. Agronsky, A. M. Bruckner and M. Laczkovich). Trans. Amer. Math. Soc., 289 (1985), 659-677.

  45. Extensions of differentiable functions (with V. Aversa and M. Laczkovich). Comment. Math. Univ. Carolinae, 26 (1985), 597-609.

  46. An unusual descriptive definition of integral (with B. Bongiorno). In Classical Real Analysis, Madison, Wis. 1982, Contemporary Mathematics, pages 13-22, Amer. Math. Soc., Providence, R.I., 1985.

  47. Measures for which sigma-porous sets are null (with P. D. Humke). J. London Math. Soc., (2)32 (1985), 236-244.

  48. Alpha-variation and transformation into Cn functions (with M. Laczkovich). Indiana Math. J., 34 (1985), 405-424.

  49. Maximal sets of orthogonal measures are not analytic (with J. Rataj). Proc. Amer. Math. Soc., 93 (1985), 471-474.

  50. Cluster expansion for abstract polymer models (with R. Kotecký). Comm. Math. Phys., 103 (1986), 491-498.

  51. Note on decomposition of spheres in Hilbert spaces (with V. Rödl). J. Combin. Theory Ser. A, 43 (1986), 38-44.

  52. Derivatives of type I (with V. Šverák). Real. Anal. Exchange, 12 (1986-87), 354-360.

  53. A smooth variational principle with applications to sub-differentiability and to differentiability of convex functions (with J. M. Borwein). Trans. Amer. Math. Soc., 303 (1987), 517-528.

  54. A generalization of the interior mapping theorem of Clarke and Pourciau (with M. Fabián). Comment. Math. Univ. Carolinae, 28 (1987), 311-324.

  55. On the Clarke's generalized Jacobian (with M. Fabián). Rend. Circ. Mat. Palermo Supplemento, Serie II, 14 (1987), 305-307.

  56. Besicovitch-type properties of measures and submanifolds (with O. Kowalski). J. reine angew. Math., 379 (1987), 115-151.

  57. On unilateral and bilateral Peano derivatives (with M. Laczkovich and C. Weil). Proc. Amer. Math. Soc., 99 (1987), 129-134.

  58. Geometry of measures in Rn: Distribution, rectifiability, and densities. Ann. of Math., 125 (1987), 537-643.

  59. An unusual monotonicity theorem with applications (with J. Malý and L. Zajíček). Proc. Amer. Math. Soc., 102 (1988), 925-932.

  60. Differentiability of Lipschitz functions in finite and in infinite dimensional spaces. In Proc. Conf. Measure Theory, Napoli 1986, pages 225-229, 1988.

  61. Measures and geometry. In Proc. Conf. Measure Theory, Napoli 1986, pages 221-223, 1988.

  62. Hearts density theorems (with V. Aversa). Real. Anal. Exchange, 14 (1988-89), 28-32.

  63. A symmetric covering theorem (with B. S. Thomson). Real. Anal. Exchange, 14 (1988-89), 253-254.

  64. Separating polynomials on Banach spaces (with M. Fabian, J. H. M. Whitfield and V. Zizler). Quart. J. Math. Oxford, 40 (1989), 409-422.

  65. A general mountain pass principle for locating and classifying critical points (with N. Ghoussoub). Analyse non linéaire, 6 (1989), 321-330.

  66. A characterization of non-chaotic maps of the interval stable under small perturbations (with J. Smítal). Trans. Amer. Math Soc., 313 (1989), 687-696.

  67. The approximate symmetric integral (with B. S. Thomson). Canad. J. Math., 41 (1989), 508-555.

  68. Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings (with I. Namioka and R. R. Phelps). Israel J. Math., 72 (1990), 257-279.

  69. Almost differentiability of convex functions on Banach spaces and determination of measures by their values on balls. In Geometry of Banach Spaces, pages 237-244, Cambridge University Press. 1990.

  70. Differentiability of Lipschitz functions on Banach spaces. J. Functional Anal., 91 (1990), 312-345.

  71. The equation ux uy = 0 factors (with A. M. Bruckner, G. Petruska and B. S. Thomson). Acta Math. Hung., 57 (1991), 275-278.

  72. On intermediate differentiability of Lipschitz functions on certain Banach spaces (with M. Fabián). Proc. Amer. Math. Soc., 113 (1991), 733-740.

  73. Differentiability and measures in Banach spaces. In Proceedings of the International Congress of Mathematicians 1990, pages 923-929, Springer-Verlag, Berlin-Heidelberg-New York, 1991.

  74. Measures on Banach spaces are determined by their values on balls (with J. Tišer). Mathematika, 38 (1991), 391-397.

  75. Positivity principles in geometrical measure theory (with L. Mejlbro and J. Tišer). In Proc. Conf. Measure Theory, Oberwolfach 1990, number 28 in Rend. Circ. Mat. Palermo Supplemento, Serie II, 1992.

  76. On Besicovitch's 1/2 problem (with J. Tišer). J. London Math. Soc., 45 (1992), 279-287.

  77. On one-sided average densities of fractal measures on the line (with P. Mörters). In Seminaire Initiation à l'Analyse, Paris, 1994-95.

  78. Points of non-differentiability of typical Lipschitz functions (with J. Tišer). Real. Anal. Exchange, 20 (1994-95), 219-226.

  79. On the existence of subsets of finite positive packing measure (with H. Joyce). Mathematika, 42 (1995), 15-24.

  80. Rectifiable measures in Rn and existence of principal values for singular integrals (with P. Mattila). J. London Math. Soc., 52 (1995), 482-496.

  81. On characterizing derivatives (with M. Tartaglia). Proc. Amer. Math. Soc., 123 (1995), 2417-2420.

  82. Two unexpected examples concerning differentiability of Lipschitz functions on Banach spaces (with J. Tišer). Operator Theory: Advances and Applications, 77 (1995), 219-238.

  83. Almost Fréchet differentiability of finitely many Lipschitz functions (with J. Lindenstrauss). Mathematika, 86 (1996), 393-412.

  84. Additional regularity for Lipschitz solutions of PDE. J. reine angew. Math., 485 (1997), 197-207.

  85. Positivity principle for more concentrated measures (with J. Tišer). Math. Scand., 81 (1997), 236-246.

  86. Infinite variation and derivatives in Rn (with B. Bongiorno and L. Di Piazza). J. Math. Anal. Appl., 224 (1998), 22-33.

  87. Tangent measure distributions of fractal measures (with P. Mörters). Math. Ann., 312 (1998), 53-99.

  88. Sigma-porous sets in metric spaces and sigma-directionally porous sets in Banach spaces (with L. Zajíček). Real. Anal. Exchange, 24 (1998-99), 295-313.

  89. Lusin's theorem for derivatives with respect to a continuous function (with V. Aversa). Proc. Amer. Math. Soc., 127 (1999), 3229-3235.

  90. Affine approximation of Lipschitz functions and nonlinear quotients (with S. Bates, W. B. Johnson, J. Lindenstrauss and G. Schechtman). Geom. Funct. Anal., 19 (1999), 1092-1127.

  91. Not too well differentiable Lipschitz isomorphisms (with D. J. Ives). Israel J. Math., 115 (2000), 343-353.

  92. Uniform quotient mappings of the plane (with W. B. Johnson, J. Lindenstrauss and G. Schechtman). Michigan Math. J., 47 (2000), 15-31.

  93. The balls do not generate all Borel sets using complements and countable disjoint unions (with T. Keleti). Math. Proc. Camb. Phil. Soc., 128 (2000), 539-547.

  94. Lipschitz image of a measure null set can have a null complement (with J. Lindenstrauss and E. Matoušková). Israel J. Math., 118 (2000), 207-219.

  95. A new proof of Fréchet differentiability of Lipschitz functions (with J. Lindenstrauss). J. Eur. Math. Soc., 2 (2000), 199-216.

  96. Denjoy-Young-Saks theorem for approximate derivatives revisited (with G. Alberti, M. Csörnyei and M. Laczkovich). Real. Anal. Exchange, 26 (2000-01), 485-488.

  97. The composition of two derivatives has a fixed point (with M. Csörnyei and T. C. O'Neil). Real. Anal. Exchange, 26 (2000-01), 749-760.

  98. On Dini and approximate Dini derivates of typical continuous functions (with L. Zajíček). Real. Anal. Exchange, 26 (2000-01), 401-412.

  99. Fréchet differentiability of Lipschitz functions (a survey) (with J. Lindenstrauss). In Recent Progress in Functional Analysis, number 945 in North-Holland Mathematics Studies, pages 19-42, Elsevier, Amsterdam, 2001.

  100. Directional derivatives of Lipschitz functions (with L. Zajíček). Israel J. Math., 125 (2001), 1-27.

  101. Almost Fréchet differentiability of Lipschitz mappings between infinite-dimensional Banach spaces (with W. B. Johnson, J. Lindenstrauss and G. Schechtman). Proc. London Math. Soc., (3) 84 (2002), 711-746.

  102. Lipschitz quotients from metric trees and from Banach spaces containing l1 (with W. B. Johnson, J. Lindenstrauss and G. Schechtman). J. Functional Anal., 194 (2002), 332-346.

  103. Uniformly distributed measures in Euclidean spaces (with B. Kirchheim). Math. Scand., 90 (2002), 152-160.

  104. On Fréchet differentiability of Lipschitz maps between Banach spaces (with J. Lindenstrauss). Ann. of Math., 157 (2003), no.1, 257-288.

  105. Porosity, sigma-porosity and measures (with M. E. Mera, M. Morán and L. Zajíček). Nonlinearity, 16 (2003), 247-255.

  106. Regularity of Lipschitz functions on the line (with L. Rolland). Real. Anal. Exchange, 28 (2002-03), 227-234.

  107. Geometric Measure Theory in Banach spaces. In Handbook of the geometry of Banach spaces, Vol. II, 1519--1546, North-Holland, Amsterdam, 2003.

  108. Rearrangement of functions on totally disconnected groups (with P. Holický). J. Math. Anal. Appl., 283 (2003), 77-84.

  109. When do McShane and Pettis integrals coincide? (with L. Di Piazza). Illinois J. Math., 47 (2003), 1177-1187.

  110. Stochastic approximation properties in Banach spaces (with V. P. Fonf, W. B. Johnson and G. Pisier). Studia Math., 159 (2003), no.1, 103-119.

  111. BV has the bounded approximation property (with G. Alberti, M. Csörnyei and A. Pełczyński). J. Geom. Anal., 15 (2005), no.1, 1-7.

  112. Structure of null sets in the plane and applications (with G. Alberti and M. Csörnyei). In European Congress of Mathematics, Stockholm, June 27 - July 2, 2004, A. Laptev Ed., 3-22, European Mathematical Society Publishing House, Zürich, 2005.

  113. Lipschitz functions with unexpectedly large sets of nondifferentiability points (with M. Csörnyei and J. Tišer). Abstract and Applied Analysis, 2005 (2005), no. 4, 361-373.

  114. Positive-measure self-similar sets without interior (with M. Csörnyei, T. Jordan, M. Pollicott and B. Solomyak). Ergodic Theory Dynam. Systems, 26 (2006), no. 3, 755--758.

  115. Stability of Lewis and Vogel's result (with T. Toro). Revista Matematica Iberoamericana, 23 (2007), no. 1, 17-55.

  116. Sets of finite $H^1$ measure that intersect positively many lines in infinitely many points (with M. Csörnyei). Annales Academiæ Scientiarum Fennicæ, 32 (2007), 545-548.

  117. Fréchet differentiability of Lipschitz maps and porous sets in Banach spaces (with J. Lindenstrauss and J. Tišer), In Banach Spaces and their Applications in Analysis, Proceedings of the International Conference at Miami University, May 22-27, 2006, In Honor of Nigel Kalton's 60th Birthday, B. Randrianantoanina and N. Randrianantoanina Eds., 111-123, de Gruyter 2007.

  118. Universal singular sets in the calculus of variations (with M. Csörnyei, B. Kirchheim, T. C. O'Neil and S. Winter). Arch. Ration. Mech. Anal., 190 (2008), no. 3, 371-424.

  119. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions (with C. Kenig and T. Toro). J. Amer. Math. Soc., 22 (2009), 771-796.

  120. On the smoothness of Hölder doubling measures (with X. Tolsa and T. Toro). Calc. Var. Partial Differential Equations, 35 (2009), no. 3, 339-363.

  121. A simple proof of Zahorski's description of non-differentiability sets of Lipschitz functions (with T. Fowler). Real. Anal. Exchange, 34 (2008/2009), no. 1, 1-12.

  122. Fréchet differentiability of Lipschitz functions via a variational principle (with J. Lindenstrauss and J. Tišer). J. Eur. Math. Soc., 12 (2010), no. 2, 385-412.

  123. Tilings of Hilbert spaces. Mathematika, 56 (2010), 217-230.

  124. Differentiability of Lipschitz functions, structure of null sets, and other problems (with G. Alberti and M. Csörnyei). In Proceedings of the International Congress of Mathematicians 2010, pp 1379-1394. World Scientific Publishing 2011.

  125. A one-dimensional variational problem with continuous Lagrangian and singular minimizer (with R. Gratwick). Arch. Ration. Mech. Anal., 202 (2011), no. 1, 177-211.

  126. Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces (with J. Lindenstrauss and J. Tišer). Annals of Mathematics Studies; no. 179. Princeton University Press 2012.

  127. Knot points of typical continuous functions (with S. Saito). Trans. Amer. Math. Soc., to appear.